Power-law tails in triple system decay statistics

TL;DR

This study examines the decay patterns of triple systems under Newtonian physics, revealing that their decay times follow power-law distributions largely unaffected by mass ratios.

Contribution

It demonstrates that decay statistics of triple systems can be approximated by power-law tails across various mass ratios, with minimal dependence on mass distribution.

Findings

Decay times follow power-law distributions.

Power indices are largely independent of mass ratios.

Decay statistics are consistent across different mass configurations.

Abstract

We have investigated the decay statistics of triple systems with different masses in Newtonial dynamics. We demonstrate that in a broad interval of mass ratios this statistics has good approximation by power-law tails. The power indices do not show any significant dependence on mass ratios.